This was the beginning of an important mathematical quest: to understand and classify all possible types of symmetry.

这标志着一个重要的数学探索的开始：了解并对所有可能的对称类型进行分类。

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During the design process we made sure that all of the designs shown in this article are essentially mathematical in nature; that is, they exhibit order, symmetry and limitation.

在设计过程中，我们确保本文展示的所有设计都遵循了数学的本质本性，也就是展现秩序、对称和极限。

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Crystallographers always believed that all crystals have rotational symmetry, so that when they are rotated, they look the same.

晶体学家们一直认为所以的晶体都具有旋转对称性，这样当它们转动起来时候，从各方面来看都是一样的。

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Which is why when Ms. Callas sings "Vissi d'arte, vissi d'amore" ("I lived for art, I lived for love") in the opera's most famous aria, the line between art and life with all its fearful symmetry for her is more than blurred.

WSJ: Maria Callas | Puccini's Tosca | The Measure of a Diva | Masterpiece by David Mermelstein

It is, he says, all to do with symmetry (technically, with something called the wreath product of symmetry groups).

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Mathematics recognises many sorts of symmetry, not all of them amenable to these sorts of geometrical analogy.

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